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An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.

Which best describes the range of possible values for the third side of the triangle?

x < 12.5, x > 18.9
12.5 < x < 18.9
x < 6, x > 26
6 < x < 26

Respuesta :

absor201

Answer:

Option D is correct.

Step-by-step explanation:

The length of 2 sides of triangle are given i.e 10 cm and 16 cm.

We need to find the range of the values of length of the third side.

Sum of 2 sides of triangle is greater than the 3rd side

so, 10+16 = 26

So, the length of third side should be less than 26

and we know that the length of third side should be greater than the absolute difference of other two sides

16-10 = 6

So, the length of third side should be greater than 6

Combining both we get 6<x<26

Hence Option D is correct.

adioabiola

The range of possible values for the third side of the triangle is 6 < x < 26

How to find third side of the triangle

  • Side 1 = 10 cm
  • Side 2 = 16 cm
  • Side 3 = x cm

  • Sum of two sides is greater than third side

10 + 16 = 26 cm

  • Length of third side is greater than difference between the two sides

Difference = 16 cm - 10cm

= 6 cm

Therefore, the range of value of the third side is x is greater than 6cm less than 26cm

6 < x < 26

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